The values on the left are the calculated discriminant values for some quadratic equations. Match these values for the discriminants with the nature of solutions. (You will have two draggers that will not be used) 2 complex 2 real, rational 2 real, irrational 1 complex 1 real, rational 1 real, irrational 32 -12 1

Q: 6x2 – x- 12 = 0

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Q: g (x) is a polynomial that has a leading coefficient of 3 and the folla 2. Choose all the correct…

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Q: II. Find all real roots of the following equations. 1. x- 10x2+32x-32 =0 2. x- 6x? +11x-6= 0

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Q: If a quadraticequation has two distinct real roots, what does this say about its discriminant?

A: correct ans is C. for real and district root,discriminant must be graterthan zero.

Q: If a and 3 are the roots of the quadratic 3r² – 4.x + 6 = 0, find the value of ( + )

A: We have to solve given problem:

Q: If the sum of the roots of the equation 1/(x+ a) + 1/(x + b) = 1/c is zero, then prove that the…

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Q: 2. Let r, 2 be the roots of the equation 2x-6x+3=0, construct an equation whose roots and are rr3,…

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Q: What can you tell about the roots of a quadratic equation if (b2-4ac), “b squared minus 4ac”, in the…

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Q: One zero for the polynomial function is given. Find all others. f(x) = x° +4x - 2x – 20; 2 is a…

A: Consider the polynomial fx=x3+4x2-2x-20. Given that 2 is a zero of the polynomial. So, x-2  is a…

Q: Modify the following equation so that it is in quadratic form Determine the values for a, b, and c.

A: In question given question we have to modify the equation in the quadratic form s.t ax2+bx+c=0 and…

Q: In(3x3 + 2

A: The function is given as  ln3x3+2x-1. Differentiate the given function ,, y=ln3x3+2x-1 Apply the…

Q: 1. Factoring is used to solve quadratics of the form ax? +bx +c=0 when the roots are rational. Find…

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Q: √5x+1=√10x +3

A: To solve the following equation. 5x+1=10x+3

Q: What is the correct number and type of solution(s) for this quadratic equation, - 2x2 – 5x – 4 = 0?…

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Q: Which of the following quadratic equations has the sum of product of the roots to be 4 and 7,…

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.